# Volume of a Rectangular Prism Formula

A Prism that has 2 parallel rectangular bases and 4 rectangular faces is a Rectangular Prism. The mathematical literature suggests to any polyhedron like this as a **Cuboid**. It has a 6 flat rectangular faces and all the angles are right angled. The other names of such Rectangular Prism are Rectangular hexahedron, rectangular parallelepiped and right rectangular prism.

The **Volume of a Rectangular Prism Formula** is,

\[\large Volume\;of\;a\;Rectangular\;Prism=lbh\]

Where,

*b* – base length of the rectangular prism.

*l* – base width of the rectangular prism.

*h* – height of the rectangular prism.

### Volume of a Rectangular Prism Problems

**Question:** Given the base length, base width and height of the rectangular prism as 5 cm, 8 cm and 16 cm respectively. Find the volume of the rectangular prism?

**Solution:**

Given,

b = 5 cm

l = 8 cm

h = 16 cm

Using the volume of a rectangular prism formula

$Volume\;of\;a\;Rectangular\;Prism=lbh$

$=5\times8\times16$

$=640\,cm^{3}$